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Free left n-dinilpotent dimonoids

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Abstract

We introduce left (right) n-dinilpotent dimonoids which are analogs of left (right) nilpotent semigroups of rank n considered by B. M. Schein. A free left (right) n-dinilpotent dimonoid is constructed and the least left (right) n-dinilpotent congruence on a free dimonoid is characterized.

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Authors and Affiliations

  1. Department of Algebra and System Analysis, Luhansk Taras Shevchenko National University, Gogol Square, 1, Starobilsk, 92703, Ukraine

    Anatolii Zhuchok & Yuliia Zhuchok

Authors
  1. Anatolii Zhuchok
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  2. Yuliia Zhuchok
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Correspondence to Anatolii Zhuchok.

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Communicated by Boris M. Schein.

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Zhuchok, A., Zhuchok, Y. Free left n-dinilpotent dimonoids. Semigroup Forum 93, 161–179 (2016). https://doi.org/10.1007/s00233-015-9743-z

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  • DOI: https://doi.org/10.1007/s00233-015-9743-z

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